Nuprl Lemma : interval-type-at
∀[J,rho:Top]. (𝕀(rho) ~ 𝕀(J))
Proof
Definitions occuring in Statement :
interval-type: 𝕀,
cubical-type-at: A(a),
interval-presheaf: 𝕀,
I_cube: A(I),
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
interval-type: 𝕀,
top: Top
Lemmas referenced :
top_wf,
constant-cubical-type-at
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
isect_memberEquality,
voidElimination,
voidEquality,
hypothesisEquality,
hypothesis,
sqequalAxiom,
because_Cache
Latex:
\mforall{}[J,rho:Top]. (\mBbbI{}(rho) \msim{} \mBbbI{}(J))
Date html generated:
2016_05_18-PM-01_59_56
Last ObjectModification:
2016_03_03-PM-02_29_15
Theory : cubical!type!theory
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